TSTP Solution File: GRP124-1.004 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP124-1.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 11:41:30 EDT 2022
% Result : Unsatisfiable 48.43s 48.66s
% Output : Refutation 48.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP124-1.004 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : sos-script %s
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 22:00:29 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.35 ----- Otter 3.2, August 2001 -----
% 0.13/0.35 The process was started by sandbox on n013.cluster.edu,
% 0.13/0.35 Mon Jun 13 22:00:29 2022
% 0.13/0.35 The command was "./sos". The process ID is 30510.
% 0.13/0.35
% 0.13/0.35 set(prolog_style_variables).
% 0.13/0.35 set(auto).
% 0.13/0.35 dependent: set(auto1).
% 0.13/0.35 dependent: set(process_input).
% 0.13/0.35 dependent: clear(print_kept).
% 0.13/0.35 dependent: clear(print_new_demod).
% 0.13/0.35 dependent: clear(print_back_demod).
% 0.13/0.35 dependent: clear(print_back_sub).
% 0.13/0.35 dependent: set(control_memory).
% 0.13/0.35 dependent: assign(max_mem, 12000).
% 0.13/0.35 dependent: assign(pick_given_ratio, 4).
% 0.13/0.35 dependent: assign(stats_level, 1).
% 0.13/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35 dependent: assign(sos_limit, 5000).
% 0.13/0.35 dependent: assign(max_weight, 60).
% 0.13/0.35 clear(print_given).
% 0.13/0.35
% 0.13/0.35 list(usable).
% 0.13/0.35
% 0.13/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.13/0.35
% 0.13/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.35 clauses in usable.
% 0.13/0.35
% 0.13/0.35 dependent: set(knuth_bendix).
% 0.13/0.35 dependent: set(para_from).
% 0.13/0.35 dependent: set(para_into).
% 0.13/0.35 dependent: clear(para_from_right).
% 0.13/0.35 dependent: clear(para_into_right).
% 0.13/0.35 dependent: set(para_from_vars).
% 0.13/0.35 dependent: set(eq_units_both_ways).
% 0.13/0.35 dependent: set(dynamic_demod_all).
% 0.13/0.35 dependent: set(dynamic_demod).
% 0.13/0.35 dependent: set(order_eq).
% 0.13/0.35 dependent: set(back_demod).
% 0.13/0.35 dependent: set(lrpo).
% 0.13/0.35 dependent: set(hyper_res).
% 0.13/0.35 dependent: set(unit_deletion).
% 0.13/0.35 dependent: set(factor).
% 0.13/0.35
% 0.13/0.35 ------------> process usable:
% 0.13/0.35 Following clause subsumed by 2 during input processing: 0 [] {-} -equalish(e_2,e_1).
% 0.13/0.35 Following clause subsumed by 4 during input processing: 0 [] {-} -equalish(e_3,e_1).
% 0.13/0.35 Following clause subsumed by 8 during input processing: 0 [] {-} -equalish(e_3,e_2).
% 0.13/0.35 Following clause subsumed by 6 during input processing: 0 [] {-} -equalish(e_4,e_1).
% 0.13/0.35 Following clause subsumed by 10 during input processing: 0 [] {-} -equalish(e_4,e_2).
% 0.13/0.35 Following clause subsumed by 12 during input processing: 0 [] {-} -equalish(e_4,e_3).
% 0.13/0.35
% 0.13/0.35 ------------> process sos:
% 0.13/0.35
% 0.13/0.35 ======= end of input processing =======
% 0.18/0.39
% 0.18/0.39 Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.39
% 0.18/0.39 Stopped by limit on number of solutions
% 0.18/0.39
% 0.18/0.39
% 0.18/0.39 -------------- Softie stats --------------
% 0.18/0.39
% 0.18/0.39 UPDATE_STOP: 300
% 0.18/0.39 SFINDER_TIME_LIMIT: 2
% 0.18/0.39 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.39 number of clauses in intial UL: 24
% 0.18/0.39 number of clauses initially in problem: 29
% 0.18/0.39 percentage of clauses intially in UL: 82
% 0.18/0.39 percentage of distinct symbols occuring in initial UL: 100
% 0.18/0.39 percent of all initial clauses that are short: 100
% 0.18/0.39 absolute distinct symbol count: 7
% 0.18/0.39 distinct predicate count: 3
% 0.18/0.39 distinct function count: 0
% 0.18/0.39 distinct constant count: 4
% 0.18/0.39
% 0.18/0.39 ---------- no more Softie stats ----------
% 0.18/0.39
% 0.18/0.39
% 0.18/0.39
% 0.18/0.39 Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.39
% 0.18/0.39 Stopped by limit on number of solutions
% 0.18/0.39
% 0.18/0.39 =========== start of search ===========
% 9.50/9.69
% 9.50/9.69
% 9.50/9.69 Changing weight limit from 60 to 28.
% 9.50/9.69
% 9.50/9.69 Model 3 [ 1 1 189 ] (0.00 seconds, 89081 Inserts)
% 9.50/9.69
% 9.50/9.69 Model 4 [ 2 1 415 ] (0.00 seconds, 31142 Inserts)
% 9.50/9.69
% 9.50/9.69 Model 5 [ 3 1 1407 ] (0.00 seconds, 100212 Inserts)
% 9.50/9.69
% 9.50/9.69 Model 6 [ 4 0 107 ] (0.00 seconds, 209171 Inserts)
% 9.50/9.69
% 9.50/9.69 Resetting weight limit to 28 after 65 givens.
% 9.50/9.69
% 48.43/48.66
% 48.43/48.66 -- HEY sandbox, WE HAVE A PROOF!! --
% 48.43/48.66
% 48.43/48.66 ----> UNIT CONFLICT at 48.28 sec ----> 14489 [binary,14487.1,4.1] {+} $F.
% 48.43/48.66
% 48.43/48.66 Length of proof is 26. Level of proof is 12.
% 48.43/48.66
% 48.43/48.66 ---------------- PROOF ----------------
% 48.43/48.66 % SZS status Unsatisfiable
% 48.43/48.66 % SZS output start Refutation
% 48.43/48.66
% 48.43/48.66 1 [] {-} -equalish(e_1,e_2).
% 48.43/48.66 2 [copy,1,flip.1] {+} -equalish(e_2,e_1).
% 48.43/48.66 3 [] {-} -equalish(e_1,e_3).
% 48.43/48.66 4 [copy,3,flip.1] {+} -equalish(e_3,e_1).
% 48.43/48.66 7 [] {-} -equalish(e_2,e_3).
% 48.43/48.66 8 [copy,7,flip.1] {+} -equalish(e_3,e_2).
% 48.43/48.66 13 [] {+} -group_element(A)| -group_element(B)|product(A,B,e_1)|product(A,B,e_2)|product(A,B,e_3)|product(A,B,e_4).
% 48.43/48.66 15 [] {+} -product(A,B,C)| -product(A,D,C)|equalish(B,D).
% 48.43/48.66 16 [] {+} -product(A,B,C)| -product(D,B,C)|equalish(A,D).
% 48.43/48.66 18 [] {+} -product(A,B,C)| -product(D,E,C)| -product(F,A,B)| -product(F,D,E)|equalish(B,E).
% 48.43/48.66 30 [factor,18.2.4] {+} -product(A,B,C)| -product(C,C,C)| -product(C,A,B)|equalish(B,C).
% 48.43/48.66 31 [] {+} group_element(e_1).
% 48.43/48.66 32 [] {+} group_element(e_2).
% 48.43/48.66 33 [] {+} group_element(e_3).
% 48.43/48.66 35 [] {-} product(A,A,A).
% 48.43/48.66 49 [hyper,32,13,31] {-} product(e_1,e_2,e_1)|product(e_1,e_2,e_2)|product(e_1,e_2,e_3)|product(e_1,e_2,e_4).
% 48.43/48.66 50 [hyper,32,13,31] {-} product(e_2,e_1,e_1)|product(e_2,e_1,e_2)|product(e_2,e_1,e_3)|product(e_2,e_1,e_4).
% 48.43/48.66 64 [hyper,33,13,32] {-} product(e_2,e_3,e_1)|product(e_2,e_3,e_2)|product(e_2,e_3,e_3)|product(e_2,e_3,e_4).
% 48.43/48.66 65 [hyper,33,13,31] {-} product(e_1,e_3,e_1)|product(e_1,e_3,e_2)|product(e_1,e_3,e_3)|product(e_1,e_3,e_4).
% 48.43/48.66 66 [hyper,33,13,32] {-} product(e_3,e_2,e_1)|product(e_3,e_2,e_2)|product(e_3,e_2,e_3)|product(e_3,e_2,e_4).
% 48.43/48.66 164 [hyper,49,15,35,unit_del,2] {-} product(e_1,e_2,e_2)|product(e_1,e_2,e_3)|product(e_1,e_2,e_4).
% 48.43/48.66 185 [hyper,164,16,35,unit_del,2] {-} product(e_1,e_2,e_3)|product(e_1,e_2,e_4).
% 48.43/48.66 372 [hyper,50,16,35,unit_del,2] {-} product(e_2,e_1,e_2)|product(e_2,e_1,e_3)|product(e_2,e_1,e_4).
% 48.43/48.66 374 [hyper,372,15,35,unit_del,2] {-} product(e_2,e_1,e_3)|product(e_2,e_1,e_4).
% 48.43/48.66 555 [hyper,64,15,35,unit_del,8] {-} product(e_2,e_3,e_1)|product(e_2,e_3,e_3)|product(e_2,e_3,e_4).
% 48.43/48.66 559 [hyper,555,16,35,unit_del,8] {-} product(e_2,e_3,e_1)|product(e_2,e_3,e_4).
% 48.43/48.66 609 [hyper,559,30,35,185,unit_del,4] {-} product(e_2,e_3,e_4)|product(e_1,e_2,e_4).
% 48.43/48.66 715 [hyper,609,15,374,unit_del,4] {-} product(e_1,e_2,e_4)|product(e_2,e_1,e_3).
% 48.43/48.66 1048 [hyper,65,15,35,unit_del,4] {-} product(e_1,e_3,e_2)|product(e_1,e_3,e_3)|product(e_1,e_3,e_4).
% 48.43/48.66 1094 [hyper,1048,16,35,unit_del,4] {-} product(e_1,e_3,e_2)|product(e_1,e_3,e_4).
% 48.43/48.66 1137 [hyper,1094,30,35,715,unit_del,8] {-} product(e_1,e_3,e_4)|product(e_1,e_2,e_4).
% 48.43/48.66 1249 [hyper,1137,16,609,unit_del,2,factor_simp] {-} product(e_1,e_2,e_4).
% 48.43/48.66 1250 [hyper,1249,15,1094,unit_del,8] {-} product(e_1,e_3,e_2).
% 48.43/48.66 9490 [hyper,66,30,35,1250,unit_del,2] {-} product(e_3,e_2,e_2)|product(e_3,e_2,e_3)|product(e_3,e_2,e_4).
% 48.43/48.66 14474 [hyper,9490,16,35,unit_del,8] {-} product(e_3,e_2,e_3)|product(e_3,e_2,e_4).
% 48.43/48.66 14485 [hyper,14474,15,35,unit_del,8] {-} product(e_3,e_2,e_4).
% 48.43/48.66 14487 [hyper,14485,16,1249,flip.1] {-} equalish(e_3,e_1).
% 48.43/48.66 14489 [binary,14487.1,4.1] {+} $F.
% 48.43/48.66
% 48.43/48.66 % SZS output end Refutation
% 48.43/48.66 ------------ end of proof -------------
% 48.43/48.66
% 48.43/48.66
% 48.43/48.66 Search stopped by max_proofs option.
% 48.43/48.66
% 48.43/48.66
% 48.43/48.66 Search stopped by max_proofs option.
% 48.43/48.66
% 48.43/48.66 ============ end of search ============
% 48.43/48.66
% 48.43/48.66 ----------- soft-scott stats ----------
% 48.43/48.66
% 48.43/48.66 true clauses given 59 (34.7%)
% 48.43/48.66 false clauses given 111
% 48.43/48.66
% 48.43/48.66 FALSE TRUE
% 48.43/48.66 4 1 0
% 48.43/48.66 8 0 12
% 48.43/48.66 10 0 31
% 48.43/48.66 12 9 452
% 48.43/48.66 14 0 385
% 48.43/48.66 16 533 1620
% 48.43/48.66 20 830 0
% 48.43/48.66 24 697 0
% 48.43/48.66 28 156 0
% 48.43/48.66 tot: 2226 2500 (52.9% true)
% 48.43/48.66
% 48.43/48.66
% 48.43/48.66 Model 6 [ 4 -4771 107 ] (0.00 seconds, 209171 Inserts)
% 48.43/48.66
% 48.43/48.66 That finishes the proof of the theorem.
% 48.43/48.66
% 48.43/48.66 Process 30510 finished Mon Jun 13 22:01:17 2022
%------------------------------------------------------------------------------